| 基于一类弱连续T-模的模糊Hopfield神经网络研究 |
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| 引用本文： | 袁占国,王春林,严尚安.基于一类弱连续T-模的模糊Hopfield神经网络研究[J].后勤工程学院学报,2009,25(5):88-92. |
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| 作者姓名： | 袁占国 王春林 严尚安 |
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| 作者单位： | 1. 后勤工程学院,训练部,重庆400016
2. 后勤工程学院,基础部,重庆400016 |
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| 摘 要： | 基于一般的弱连续T-模与取大（V）模糊算子的复合，建立了具有一般意义的动态模糊神经网络——模糊Hopfield神经网络，并系统分析了该动态系统的性能：在Hamming距离意义下证明了该网络是稳定的，而且其平衡点（吸引子）具有全局Lyapunov稳定性。最后，提供了一种有效的学习算法。
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| 关 键 词： | 模糊Hopfield神经网络 三角模算子 平衡点 Lyapunov稳定性 |
Research on a General Fuzzy Hopfield Neural Networks Based on Weakly Continuous T-norms |
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| YUAN Zhan-guo,WANG Chun-lin,YAN Shang-an.Research on a General Fuzzy Hopfield Neural Networks Based on Weakly Continuous T-norms[J].Journal of Logistical Engineering University,2009,25(5):88-92. |
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| Authors: | YUAN Zhan-guo WANG Chun-lin YAN Shang-an |
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| Institution: | YUAN Zhan-guo ,WANG Chun-lin, YAN Shang-an ( 1. Dept. of Training, LEU, Chongqing 400016, China ; 2. Dept. of Foundation Studies, LEU, Chongqing 400016, China) |
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| Abstract: | A general dynamical fuzzy neural networks model-Fuzzy Hopfield neural networks is developed based on fuzzy operator composition of max （∨） and weakly continuous T-norms. It is shown that the model is of global stability with Hamming distance,while its equilibrium point （attractor） is of Lyapunov stability. At last, an efficient learning algorithm is proposed. |
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| Keywords: | fuzzy Hopfield neural network triangular norms equilibrium point Lyapunov stable |
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